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Finding the Fourth Proportional to 505.52, 757.54 and 286.26

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Solution

The fourth proportional to 505.52, 757.54 and 286.26 is: 428.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.52 : 757.54 = 286.26 : x
  2. Step 2: Convert to fraction form
    505.52/757.54 = 286.26/x
  3. Step 3: Cross multiply
    505.52x = 757.54 × 286.26
  4. Step 4: Simplify right side
    505.52x = 216,853.40
  5. Step 5: Solve for x
    x = 216,853.40/505.52
  6. Step 6: Final answer
    x = 428.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.